scholarly journals A generalized subspace theorem for closed subschemes in subgeneral position

2021 ◽  
Vol 229 ◽  
pp. 125-141
Author(s):  
Yan He ◽  
Min Ru
Keyword(s):  
Subspace Theorem

A note on some applications of the subspace theorem

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Rishabh Agnihotri ◽  
Debasish Karmakar ◽  
Veekesh Kumar
Keyword(s):  
Subspace Theorem

scholarly journals An invariant subspace theorem on subdecomposable operators

2000 ◽  
Vol 61 (1) ◽  
pp. 11-26
Author(s):  
Mingxue Liu
Keyword(s):  
Invariant Subspace ◽  
Additional Condition ◽  
Subspace Theorem ◽  
Subspace Problem ◽  
Invariant Subspace Problem

H. Mohebi and M. Radjabalipour raised a conjecture on the invariant subspace problem in 1994. In this paper, we prove the conjecture under an additional condition, and obtain an invariant subspace theorem on subdecomposable operators.

Schmidt’s subspace theorem for non-subdegenerate families of hyperplanes

2021 ◽  
pp. 1-18
Author(s):  
Duc Hiep Pham
Keyword(s):  
Type Theorem ◽  
Exceptional Sets ◽  
Subspace Theorem ◽  
Lang's Conjecture ◽  
Lang’S Conjecture

In this paper, we establish a Schmidt’s subspace theorem for non-subdegenerate families of hyperplanes. In particular, our result improves the previous result on Schmidt’s subspace type theorem for the case of non-degenerate families of hyperplanes, and furthermore, also shows the sharpness of the condition of non-subdegeneracy. As a consequence, we deduce a version of Lang’s conjecture on exceptional sets in the case of complements of hyperplanes.

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